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Finding the Fourth Proportional to 7,009, 10,513.50 and 2,392

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Solution

The fourth proportional to 7,009, 10,513.50 and 2,392 is: 3,588

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009 : 10,513.50 = 2,392 : x
  2. Step 2: Convert to fraction form
    7,009/10,513.50 = 2,392/x
  3. Step 3: Cross multiply
    7,009x = 10,513.50 × 2,392
  4. Step 4: Simplify right side
    7,009x = 25,148,292
  5. Step 5: Solve for x
    x = 25,148,292/7,009
  6. Step 6: Final answer
    x = 3,588

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.